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＜電子ブック＞
CGAL Arrangements and Their Applications : A Step-by-Step Guide / by Efi Fogel, Dan Halperin, Ron Wein
(Geometry and Computing. ISSN:18666809 ; 7)

版	1st ed. 2012.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2012
大きさ	XIX, 293 p. 125 illus., 120 illus. in color : online resource
著者標目	*Fogel, Efi author Halperin, Dan author Wein, Ron author SpringerLink (Online service)
件　名	LCSH:Image processing—Digital techniques LCSH:Computer vision LCSH:Geometry LCSH:Engineering mathematics LCSH:Engineering—Data processing FREE:Computer Imaging, Vision, Pattern Recognition and Graphics FREE:Geometry FREE:Mathematical and Computational Engineering Applications
一般注記	Introduction -- Basic Arrangements -- Queries and Free Functions -- Arrangements of Unbounded Curves -- Arrangement-Traits Classes -- Extending the Arrangement -- Adapting to Boost Graphs -- Operations on (Curved) Polygons -- Minkowski Sums and Offset Polygons -- Envelopes -- Prospects -- Bibliography -- Index Arrangements of curves constitute fundamental structures that have been intensively studied in computational geometry. Arrangements have numerous applications in a wide range of areas – examples include geographic information systems, robot motion planning, statistics, computer-assisted surgery and molecular biology. Implementing robust algorithms for arrangements is a notoriously difficult task, and the CGAL arrangements package is the first robust, comprehensive, generic and efficient implementation of data structures and algorithms for arrangements of curves.   This book is about how to use CGAL two-dimensional arrangements to solve problems. The authors first demonstrate the features of the arrangement package and related packages using small example programs. They then describe applications, i.e., complete standalone programs written on top of CGAL arrangements used to solve meaningful problems – for example, finding the minimum-area triangle defined by a set of points, planning the motion of a polygon translating among polygons in the plane, computing the offset polygon, finding the largest common point sets under approximate congruence, constructing the farthest-point Voronoi diagram, coordinating the motion of two discs moving among obstacles in the plane, and performing Boolean operations on curved polygons.   The book contains comprehensive explanations of the solution programs, many illustrations, and detailed notes on further reading, and it is supported by a website that contains downloadable software and exercises. It will be suitable for graduate students and researchers involved in applied research in computational geometry, and for professionals who require worked-out solutions to real-life geometric problems. It is assumed that the reader is familiar with the C++ programming-language and with the basics of the generic-programming paradigm HTTP:URL=https://doi.org/10.1007/978-3-642-17283-0

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